A bar of mass m, length d, and resistance R slides without friction in a horizontal plane,

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A bar of mass m, length d, and resistance R slides without friction in a horizontal plane, moving on parallel rails as shown in Figure P31.52. A battery that maintains a constant emf Є is connected between the rails, and a constant magnetic field B is directed perpendicularly to the plane of the page. Assuming the bar starts from rest, show that at time t it moves with a speed

A bar of mass m, length d, and resistance
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